H modeling
==============


Characteristics of modeling
-----------------------------------

The plate is modelled with a complete mesh (unlike substructuring). The mesh has 1200 QUAD4 meshes, which corresponds to twice the size of modeling A.


Sizes tested on the complete structure
-------------------------------------------

We test the natural frequencies:

.. csv-table::

    "**Identification**", "**Reference**", "**Tolerance**"
    "Fashion No. 11", "", ""
    "frequency", ":math:`17.13\mathit{Hz}` ", "0.5%"
    "Fashion No. 21", "", ""
    "frequency", ":math:`35.63\mathit{Hz}` ", "0.5%"
    "Mode No. 12, "", ""
    "frequency", ":math:`50.01\mathit{Hz}` ", "0.5%"
    "Fashion No. 31", "", ""
    "frequency", ":math:`66.46\mathit{Hz}` ", "0.5%"
    "Fashion No. 22", "", ""
    "frequency", ":math:`68.51\mathit{Hz}` ", "0.5%"


We also test the modal deformations of the third and fourth modes (identified by the indices :math:`(\mathrm{1,2})` and :math:`(\mathrm{3,1})` respectively), by recovering the component :math:`\mathit{DZ}` of the deformation along three lines: the two median axes and the diagonal of the plate. Each line is discretized by 10 points.


.. csv-table::

    "**Identification**", "**Reference**", "**Tolerance (relative, unless otherwise stated)**"
    "Mode No. 12, "", ""
    "Deformed along the major median axis", "cf. paragraph :ref:`2.1 <RefNumPara__1525_1601233149>` ", "0.1 (in absolute)"
    "Deformed along the small median axis", "", "1%"
    "Deformed along the diagonal", "", "1%"
    "Fashion No. 31", "", ""
    "Deformed along the major median axis", "", "1%"
    "Deformed along the small median axis", "", "1%"
    "Deformed along the diagonal", "", "1%"



.. image:: images/100002010000032C00000264AEEA782D7F4E3ED3.png
    :width: 4.6252in
    :height: 3.0819in


.. _RefImage_100002010000032C00000264AEEA782D7F4E3ED3.png:

Figure 10.2-1- Modal deformations along the major median axis.


.. image:: images/100002010000032C00000264A04FB60F320073BA.png
    :width: 4.6299in
    :height: 3.0799in


.. _RefImage_100002010000032C00000264A04FB60F320073BA.png:

Figure 10.2-2- Modal deformations along the minor median axis.


.. image:: images/100002010000032C000002645569868B10F0DA5A.png
    :width: 4.6299in
    :height: 3.0902in


.. _RefImage_100002010000032C000002645569868B10F0DA5A.png:

Figure 10.2-3- Modal deformations along the diagonal.

 The results are very satisfactory.